IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpga/9409002.html
   My bibliography  Save this paper

An Analysis of the War of Attrition and the All-Pay Auction

Author

Listed:
  • Vijay Krishna

    (Department of Economics, Penn State University)

  • John Morgan

    (Department of Economics, Penn State University)

Abstract

We study the war of attrition and the all-pay auction when players' signals are affiliated and symmetrically distributed. We (a) find sufficient conditions for the existence of symmetric monotonic equilibrium bidding strategies; and (b) examine the performance of these auction forms in terms of the expected revenue accruing to the seller. Under our conditions the war of attrition raises greater expected revenue than all other known sealed bid auction forms.

Suggested Citation

  • Vijay Krishna & John Morgan, 1994. "An Analysis of the War of Attrition and the All-Pay Auction," Game Theory and Information 9409002, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpga:9409002
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9409/9409002.pdf
    Download Restriction: no

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9409/9409002.ps.gz
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    2. Erwin Amann & Wolfgang Leininger, 1995. "Expected revenue of all-pay and first-price sealed-bid auctions with affiliated signals," Journal of Economics, Springer, vol. 61(3), pages 273-279, October.
    3. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1993. "Rigging the Lobbying Process: An Application of the All-Pay Auction," American Economic Review, American Economic Association, vol. 83(1), pages 289-294, March.
    4. Bulow, Jeremy I. & Klemperer, Paul, 1994. "Auctions vs. Negotiations," CEPR Discussion Papers 924, C.E.P.R. Discussion Papers.
    5. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    6. Fudenberg, Drew & Tirole, Jean, 1986. "A Theory of Exit in Duopoly," Econometrica, Econometric Society, vol. 54(4), pages 943-960, July.
    7. Robert B. Wilson, 2021. "Strategic Analysis of Auctions," Econometrica, Econometric Society, vol. 89(2), pages 555-561, March.
    8. McAfee, R Preston & McMillan, John & Reny, Philip J, 1989. "Extracting the Surplus in the Common-Value Auction," Econometrica, Econometric Society, vol. 57(6), pages 1451-1459, November.
    9. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
    10. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    11. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    12. Barry Nalebuff & John G. Riley, 1984. "Asymmetric Equilibrium in the War of Attrition," UCLA Economics Working Papers 317, UCLA Department of Economics.
    13. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
    14. Gary S. Becker, 1983. "A Theory of Competition Among Pressure Groups for Political Influence," The Quarterly Journal of Economics, Oxford University Press, vol. 98(3), pages 371-400.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Roberto Burguet, 2000. "Auction theory: a guided tour," Investigaciones Economicas, Fundación SEPI, vol. 24(1), pages 3-50, January.
    2. Vlad Mares & Ronald Harstad, 2007. "Ex-post full surplus extraction, straightforwardly," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(2), pages 399-410, August.
    3. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," Review of Economic Studies, Oxford University Press, vol. 81(4), pages 1366-1400.
    4. Giuseppe Lopomo, 2004. "Optimality and Robustness of the English Auction," Levine's Bibliography 122247000000000391, UCLA Department of Economics.
    5. Bulow, Jeremy & Klemperer, Paul, 1994. "Rational Frenzies and Crashes," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 1-23, February.
    6. Eric Maskin & John G. Riley, 1981. "The Gains to Making Losers Pay in High Bid Auctions," UCLA Economics Working Papers 198, UCLA Department of Economics.
    7. Çağıl Koçyiğit & Garud Iyengar & Daniel Kuhn & Wolfram Wiesemann, 2020. "Distributionally Robust Mechanism Design," Management Science, INFORMS, vol. 66(1), pages 159-189, January.
    8. Ronald M. Harstad, 2005. "Rational Participation Revolutionizes Auction Theory," Working Papers 0504, Department of Economics, University of Missouri.
    9. Hyoung-Goo Kang & Richard M. Burton & Will Mitchell, 2021. "How firm boundaries and relatedness jointly affect diversification value: trade-offs between governance and flexibility," Computational and Mathematical Organization Theory, Springer, vol. 27(1), pages 1-34, March.
    10. Philippe Jehiel & Benny Moldovanu, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Levine's Bibliography 784828000000000490, UCLA Department of Economics.
    11. Committee, Nobel Prize, 2020. "Improvements to auction theory and inventions of new auction formats," Nobel Prize in Economics documents 2020-2, Nobel Prize Committee.
    12. Jofre-Bonet, Mireia & Pesendorfer, Martin, 2014. "Optimal sequential auctions," International Journal of Industrial Organization, Elsevier, vol. 33(C), pages 61-71.
    13. Atanu R. Sinha & Eric A. Greenleaf, 2000. "The Impact of Discrete Bidding and Bidder Aggressiveness on Sellers' Strategies in Open English Auctions: Reserves and Covert Shilling," Marketing Science, INFORMS, vol. 19(3), pages 244-265, May.
    14. Hannu Vartiainen, 2013. "Auction Design Without Commitment," Journal of the European Economic Association, European Economic Association, vol. 11(2), pages 316-342, April.
    15. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2016. "Informationally Robust Optimal Auction Design," Cowles Foundation Discussion Papers 2065, Cowles Foundation for Research in Economics, Yale University.
    16. Chatterjee, Krishnendu & Reiter, Johannes G. & Nowak, Martin A., 2012. "Evolutionary dynamics of biological auctions," Theoretical Population Biology, Elsevier, vol. 81(1), pages 69-80.
    17. Susan Athey & Philip A. Haile, 2006. "Empirical Models of Auctions," NBER Working Papers 12126, National Bureau of Economic Research, Inc.
    18. Page Jr., Frank H., 1998. "Existence of optimal auctions in general environments," Journal of Mathematical Economics, Elsevier, vol. 29(4), pages 389-418, May.
    19. Hon-Snir, Shlomit & Monderer, Dov & Sela, Aner, 1998. "A Learning Approach to Auctions," Journal of Economic Theory, Elsevier, vol. 82(1), pages 65-88, September.
    20. Sung-Jin Cho & Harry J. Paarsch & John Rust, 2014. "Is the ‘Linkage Principle’ Valid? Evidence from the Field," Journal of Industrial Economics, Wiley Blackwell, vol. 62(2), pages 346-375, June.

    More about this item

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wpa:wuwpga:9409002. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.